statistical-pedagogy-framework

name	statistical-pedagogy-framework
description	Evidence-based framework for transforming technical statistical papers into pedagogically-sound lessons using cognitive learning principles (dual coding, worked examples, progressive complexity). Includes a Paper-Type Dial (Section 0) that calibrates section emphasis for theory/proof papers, applied/simulation papers, methods papers, and hybrid papers — automatically adding a proof-strategy walkthrough for theory-heavy work. Use when designing lectures, handouts, or course materials to introduce new statistical techniques, methods, or complex concepts at any level. Apply for STAT 579 materials, journal club discussions, research seminars, flipped classroom preparation, or when a [teach-paper] handoff block is provided.
metadata	{"category":"teaching"}

Statistical Pedagogy Framework

Turn a technical statistical paper/method into an effective lesson, using evidence-based cognitive-science principles. This file is a router — start at the Paper-Type Dial, then open the reference/ file for each phase.

When to use

Designing lectures, handouts, flipped-classroom or journal-club materials; introducing a new technique/method at any level; or processing a [teach-paper] handoff block. (STAT 579 / 440 materials, research seminars.)

Workflow (open the reference for each step)

1. Calibrate first → reference/paper-type-dial.md (START HERE: classify the paper T/A/M/H, set the section-emphasis matrix, decide whether a Proof-Strategy Walkthrough is needed).
2. Apply the cognitive principles → reference/cognitive-principles.md (dual coding, worked-example effect, progressive complexity/scaffolding, retrieval practice, elaboration, transfer).
3. Fill the lesson template → reference/section-template.md (the 8-section structure: hook → numerical walkthrough → formalization (+ proof walkthrough) → contrasts → implementation → application → practice → broader framework).
4. Run the workflow / parse a handoff → reference/workflow-and-handoff.md (prep→develop→deliver→iterate; [teach-paper] YAML field mapping).
5. Gate before delivery → reference/checklists-and-pitfalls.md (lesson-design checklist, common pitfalls, deliverables, integration, getting-started).
6. House conventions for math-heavy lessons → reference/operational-conventions.md (fixed-inputs reproducibility, dual Mermaid/TikZ, guidance fading, LENGTH×DEPTH dials).

Composes with

The teaching commands in this plugin (/teaching:lecture, :exam, :quiz, :slides, …) and the vault prompt teaching--math-tutorial-generators (the operational instantiation). For research methodology, pairs with the savant research skills (methods-paper-writer, proof-architect) — one proof, two audiences (the WALKTHROUGH → a manuscript Remark).

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Refactored to progressive disclosure (router + reference/) 2026-06-20 on ingest into scholar; content preserved from the source SKILL.md.